First, get some shoes.
Your back doesn't look rounded in either the squat or the deadlift. Don't be too alarmed if your back gets sore, those two lifts are both very back intensive.
You're bouncing a little too literally in the squat, it would be better if you try to make it more controlled, like a slow motion bounce.
I don't see anything unusual in your grip. Just do your best to find a grip that's comfortable, and have as much of the weight supported on your torso as you can, rather than supporting it with your arms. Shake it out and massage whatever is still bothering you after your squats.
Your deadlift is almost a SLDL, use your quads instead of your posterior chain to lift the bar from the ground to ~knee level.
Doesn't your equipment have safety spotter arms or something? I personally don't like when a spotter is touching me when I clearly have the rep.