was I correct in surrendering this game?
Absolutely not
Put the rook on g3, you might be an exchange down later but you have a lot of attacking chances
Then target the b7 pawn by bringing out your knight and play Rb1
I didn't see any options. The black queen was in the position to destroy my whole left flank. The position was I think beyond redemption.
No. There was a lot of play left.
The computer thinks it was still close to even.
How, or where can you see what the computer thinks?

If you look at the analysis, it will give you a number of options. (I am using the website.)
There are often options.
However, rather than analyzing that ending position very deeply, it probably makes sense to focus more on the fact that your opening choices weren't the best. I have a feeling that you have played the whole h3 g4 Rg1 attack before. It may have worked against someone who castled and didn't defend. Perhaps you have beaten some bots with it.
However, the problem, which you discovered, is that those moves leave big holes in your position. That's how the queen got into your position in the first place on the kingside while your opponent's knight was all set to ravage your queenside.
You might find it very helpful to take some of the lessons on how to develop your pieces and get your king safe in the opening.
You could push f3 and then everything is defended. After that you could take the knight and attack black’s king

However, rather than analyzing that ending position very deeply, it probably makes sense to focus more on the fact that your opening choices weren't the best.
I strongly disagree. This game was not lost because of some opening choice. It was lost because white resigned in an equal position.
Even if the position was objectively lost for white (which it wasn't), resigning is still a huge blunder. In a low rated game, anything can happen at any time. Maybe black was planning to blunder his queen with Qxf2 or Qxh3 or something. "Never resign" is the only good advice in this situation.
If you look at the analysis, it will give you a number of options. (I am using the website.)
There are often options.
However, rather than analyzing that ending position very deeply, it probably makes sense to focus more on the fact that your opening choices weren't the best. I have a feeling that you have played the whole h3 g4 Rg1 attack before. It may have worked against someone who castled and didn't defend. Perhaps you have beaten some bots with it.
However, the problem, which you discovered, is that those moves leave big holes in your position. That's how the queen got into your position in the first place on the kingside while your opponent's knight was all set to ravage your queenside.
You might find it very helpful to take some of the lessons on how to develop your pieces and get your king safe in the opening.
I have played 3 or 4 games against bots, against humans 23, of which I would guess 12+ against the dame friend.
I have a free account so I cannot take lessons.
However, rather than analyzing that ending position very deeply, it probably makes sense to focus more on the fact that your opening choices weren't the best.
I strongly disagree. This game was not lost because of some opening choice. It was lost because white resigned in an equal position.
Even if the position was objectively lost for white (which it wasn't), resigning is still a huge blunder. In a low rated game, anything can happen at any time. Maybe black was planning to blunder his queen with Qxf2 or Qxh3 or something. "Never resign" is the only good advice in this situation.
Would not ever resigning lead to long games where no one wins?

I'm rated slightly above 1000 in blitz, and my advice to you is to never resign no matter how hopeless the game seems. I've had lots of games where me or my opponent have been up plenty of material but we end up in a draw because of tremendous blunders or because you stalemate.
Besides, if you resign you miss out on opportunities to practice end game tactics, even if you end up losing