My first time being accused of using an engine

So I've been on chess.com since November now and I've been blessed with a fairly quick growth as I didn't play chess before hand, I've had a few games but I properly learned to play chess on here. I've always had some ease with strategy games, I also play a lot and look at lessons and videos which I think in part explains my quick growth and which is not by any means unseen before. Now, like many chess players I have awful chess days where I play like garbage, and good days, today was fairly good except a couple games where my friend kicked my ass, I absolutely cannot beat his Sicilian, it's frustrating, really. As I was playing some Blitz 5, I came across this player who accused me of cheating and said he was going to report me and that I'd be banned. That in itself I don't mind, in a way I find it flattering to be told you play like an engine, aside from saying that they are sore losers I guess that also says something about your skills. So of course I went to analyze the games, we had two, and they were pretty good on my hand so I started worrying that chess.com might take his report seriously but I trust them to be fair and knowing some awful games I played recently, there is no way they could take his report seriously. Anyway, since I never posted on here, I figured this might be the perfect opportunity for me to share these games with you and also the exchange we had.

So here is our first game, I don't have much to say about it, feel free to watch it and make your own opinion of whether I use an engine or not but nothing really happened in this game, at the end I said GG and was answered by a rematch offer. 

The next game I played is where it all happened, he didn't finish it because he was about to lose his Queen because he couldn't see a dumb pin, I guess that is part of why he was so hurt by the way I play. Keep in mind that by the time I moved my rook, I still had 4:45 on my clock. 

In this game chess.com gives me 90 percentile against 83 in the first but that seems normal given there was a lot less moves. Below, you will find the discussion after I moved my rook. I don't know if i should give his username but I saw someone else with a similar post who did so I guess it's no big deal.

KingLodBrok: You are using chess machine

sAdess64: Nope

KingLodbrok: Enjoy ban

sAdess64: You can analyze my games

KingLodbrok: 500 games hardstuck in 1050 elo

And plays best moves two games in a row

sAdess64: Lol, if you don't see your queen is hanging at 1000 that's not my fault. 

Well report me if you want but I genuinely am not using a machine

I play way too quickly for that

I'm still at 4:45 in time...

KingLodbrok: You are, thats what your stats analysis says

Enjoy ban. Cya

sAdess64: Lol sure

And there it ended. There are two things I'd like to address about this, first the idea that I am hard-stuck, I wouldn't be if i were using an engine but a simple look at my profile would have showed him that I am not hard-stuck, I simply haven't been playing much of Blitz and focusing more on Rapid but given his stats he only seems to play Blitz so I guess he didn't think to check my other stats. I understand it can be frustrating to lose to someone who has 500 games in Blitz when you have 1,500 but that is just so petty to jump straight to accusations and not recognize they might simply be a better player. The second thing and last thing I would like to address is where in the analysis does it say when someone is using an engine? Apparently he has discovered a feature we have all missed, a feature even chess.com missed given I regularly get points refund because I played against engine cheaters unknowingly.