How bad did I play this endgame

Well rook and pawn endgames are bloody hard to win and require great accuracy so I wouldn't beat yourself up over that. However your opponent for some reason declined to kill it with 64.Rxg7 and you found the very nice 65.Ra6 giving you a queen vs rook ending which is theoretically won (but again bloody hard for a human). You acquiesced to a draw though instead of testing him.

Badly.
Queen and king versus rook and king should be a win. It may be challenging but you should at least try.

Next time take gradual diagonal movements towards the rook when in constant checks. It will neutralize the rook. This is a clear win for white.

Black also gave up an easy draw with 61. . . Rc6+. All they have to do is shuffle the rook on the 8th rank, and there's no way for white to make progress. (Move 61 wasn't technically the losing move -- the rook can go back to c8 after the check, but it's the losing idea.)
Also, you hung the rook on move 55, and Black missed Rh1+.
65 Ra6 was nice though.

Badly.
Queen and king versus rook and king should be a win.
no, its a draw

You had an easy win. Start marching your king backward and toward the rook then you would have a simple Q versus R ending.
For example, 67. Kd4
You should be able to fork the king and rook with your king , winning easily.

Badly.
Queen and king versus rook and king should be a win.
no, its a draw
No it is not a draw!
https://www.thechesswebsite.com/queen-vs-rook-endgame/
55. Kh5 is a bad mistake by you. Your opponent could win with 55... Rh1 (instead of blundering back with 55... Rc5).
Later, with 64... Rg7 he could have forced a draw (instead of 64... Kh6, which loses).
If not for the repetition, the final position is still won for white. You needed to approach the black rook with your king.
KQ vs KR is a very difficult ending, even some grandmasters have failed to win. That does not mean that you should not try to win it the next time it appears in your games.
"55. Kh5 is a bad mistake by you. Your opponent could win with 55... Rh1"
Absolutely right! The skewer is the one tactic you have to always be aware of in these rook and pawn endgames. You can throw the game away in one move.
35,Rg8+ was a terrible mistake, Your two rooks on the 7th were a tremendous asset, With one move, you gave that asset away and transposed into a pawn-up rook and pawn ending that looks very hard to win (and you can lose!) You exchanged out of a dominant--probably winning position
From then on, the game was basically a dead draw (except for 55.Kh5) until Black played the unexplainable 65...Kh6?? Winning with K+Q vs K+R can be very tricky. You might want to study that ending so that you know the basic ideas for both sides.
If you aren't familiar with the ideas in a Q v R ending, it's not easy to figure it out over the board in thime pressure. But you're right, it should be won
If you go to Youtube and type "queen versus rook" into the search, you will get access to lots of videos explaining who to win with K+Q vs K+R
I think you should focus on moving the king than having the rook checking and checking all over again. Also, you probably should do a better move like 70. Kf7 Rg6+.

You had this engame in the bag, by move 75 you would've been fine as you would've stop being checked by the black rook as the queen covered the a2 sqaure, and as long as you know the philidor endgame for queen and rook you should've been fine(in other words you could've checked the king into an akward position; got a fork; make a move for to protect a key square etc.).
You would've won, my guess is the reason you wanted a draw was either 1.You were low on time. Or 2.You didn't know how to play the endgame.
Now if you don't know how to play the endgame, go and learn that immediatley, however if you were trying to get a draw because of time, because you were playing blitz or 20 min with no time increment, than it is understandable and excusable why you made the draw even when you were winning.
T

There are plenty of reasons how you could've won the game, but that is not important now. The only thing that matters is how you learn from the game and improve.
Thousands upon thousands of lessons are learned in the game of chess, luckily that allows us to get better and do the best we can and learn from previous positions that we previously struggled on.
Again don't beat yourself up about it, most people don't know the philidor endgames for some reason, so just be one of those people that know them(by the way this is from experience). Most people just let intuition and experience guide them in endgames and let the rest come all together. However if you know the philidor endgames it will defiently give you a push and an advantage for you if other people you face don't have the knowledge of them.
So to answer your questiton you did fine in the endgame. The only blunder was making the game a draw. So just learn from your mistakes and next time you will be fine.
Hopefully this was helpful to you @GAVIN098.