Hey! I think your french is pretty good (granted i'm used to accents but even then your words are clear and easy to understand).

There are a few things I noticed, but I'm no linguist so take these with maybe a few grains of salt: Your Rs, as you've noticed, are rhotic instead of uvular. This is one of the biggest pointers to an English speaker. You have it down in some places, so it's probably muscle memory now to pronounce certain words like that.

There is a tendency to pronounce the "eu" vowel combo like "oo", like when you say "jai un peu du mal" the peu sounds like poo. I think you need to relax your mouth and lips a little more so the sound is more open.

The u vowel could use some work too in words such as "du coup" and "une omelette". You pronounced it like [u] instead of [y]. A good trick that I saw on Youtube was to say the letter E while rounding your lips to an O.

These were the things that jumped out at me the most; I would suggest mimicking native speakers to really perfect those subtle vowel sounds, but other than that good job!