I was invited over by my Indian friend who is currently staying in Nishi-Kasai, Tokyo, and recentlyso I visited him with my wife.

It was fine before, but this gives the sentence more clarity

Wondering why he couldn't show up tocome meet us, we pulled ourselves together and headed to Building 1 as he had instructed.

This just sounds more natural

I was invited by my Indian friend who is curently staying in Nishi-Kasai, Tokyo, and recently visited him with my wife.

"One of my Indian friends who is currently staying in Nishi-Kasai, Tokyo, recently invited me (to his place) and I visited him with my wife."
Flows a bit better, more information on where you were invited to.

The large complex had multiple apartment buildings, and we headed to the designated building and visited a room on the third floor.

"The large complex had multiple apartment buildings. We headed to the designated building and headed to his apartment, which was on the third floor."
Try to avoid running sentences with multiple "and"s.

Wondering why he couldn't show up to meet us, we pulled ourselves together and headed to Building 1 as he had instructed.

Although there's nothing to correct here, "we pulled ourselves together" suggested a much dire/serious situation. It gave me an image of getting lost in a forest and I have to "pull myself together" to find the way out.

This time, we were finally able to meet (with him).

I was invited by mMy Indian friend, who is currently staying in Nishi-Kasai, Tokyo, and recently visinvited him with my wifeme to come visit. My wife and I decided to go.

The large complex was large and had multiple apartment buildings, and w. We headed to the designated building and visited afound the room on the third floor.

However, there was non’t any sign of any Indian residentsmy friend in the room.

Wondering why he couldn't show up toimply come and meet us, we pullgathered ourselves together and headed to Building 1 as he hadnow instructed.

“Now instructed” to differentiate between the new instruction of “building 1” and the previous incorrect instruction that was presumably given to you.

This time, we were finally able to meetfind him.

I was invited over by my Indian friend who is currently staying in Nishi-Kasai, Tokyo, and recently visited him with my wife.

curently -> currently: spelling

"invited by" -> "invited over by": "by" implies that a reason for the invitation would be stated later in the sentence, which never occurred. You were invited by him to visit, so "invited by my Indian friend....... to visit" would be appropriate, but an easier and faster way to say that is simply "invited over by"

The large complex had multiple apartment buildings, and we headed to the designated building and visitedwent to a room on the third floor.

visited -> went to: "went" implies a stronger relation between you going to the room and your misinterpretation of the instructions. "visited" as a word is standalone and doesn't have very strong implications. Saying "visited" here makes it sounds like you went there to see just to see, which is not the implication here. "Visited" needs to have context to be able to have a strong implication, which this sentence lacks.

However, there was no sign of any Indian residents.

you could append this sentence to the previous by doing: ".......; however, there was no sign of any Indian residents."

Note that this punctuation pattern ;however, is unique to the word however used in this specific context as a conjunction, and typically only if the sentences its joining are long.

(; however,) ◎
(; but,) X

(I woke up, showered, cooked, cleaned, shopped, and drove to work; however, I forgot to turn off the oven and came back to a burned down house.) ◎
(I didn't do that; however, I did do this) △* technically correct but awkward
(I didn't do that, however I did do this) ◎
(I just want however many there are) ◎
(I just want; however, many there are) XXXXXXX

When I called my friend, he told me, "That's not the place."

Wondering why he couldn't show up to meet us, we pulled ourselves together, reread his instructions, and headed to Building 1 as he had instructed.

"reread his instructions": I'm assuming that this was a mistake, and you didn't go to building 3 on purpose. Additionally, because there was never any mention of him giving you any instructions anywhere before this sentence, we need to insert it. If there was a mention of him instruction you to go to Building 1, adding "reread his instructions" would technically not be necessary, but still preferred as it emphasized that *this* was the error.

This time, we were finally able to meet up.

meet -> meet up: sounds more natural.

you could append this sentence to the previous by doing: ".................., and we finally met up"

His wife treated us to homemade Indian cuisine, which was so delightfulcious that all my previous frustration completely disappeared.

delightful -> delicious: it's more natural sounding to say "delicious" because meals are typically regarded as "delicious" since they're food.

"completely" is repetitive, as "all" has already told us that information

***you can also type frustration as "frustrations" to emphasize that you had multiple frustrations. However, both are correct, see below:

(all my previous frustration disappeared.): "frustration" acts as a term to group all your individual frustrations into one frustration.
(all my previous frustrations disappeared.): "frustrations" brings emphasis to the fact that you had multiple *individual* frustrations.

This only works with words that can act as labels.

(There many submarines in the ocean) ◎
(There's many submarine in the ocean) X = "submarine" cannot act as a label for all submarines.

I was invited by my Indian friend to visit who is currently staying in Nishi-Kasai, Tokyo, and recently visited him with my wife.

The large complex had multiple apartment buildings, and w. We headed to the designated building and visited a room on the third floor.

However, there was no signs of any Indian residents.