Check the easy stuff first;
1. Check tire pressure
2.
****Check chain slack
****
3. Bounce the bike to look/listen/feel for suspension movement
4. Lift the wheels and give them a spin checking bearings, for missing wheel spacers and overall tire condition
5. Check for a dragging front brake, rotors for warping and leaky fork seals while you got the front wheel in the air
6. Check rear rotor for warping and swingarm main bolt while you got the rear in the air
7. Check top and bottom motor mount bolts
8. Check steering stem nut and general triple clamp tightness
9. Put a zip tie on your upper fork leg and check for bottoming out and proper travel
Now the hard stuff or stuff that will cost you more time and/or $$$.
1. Check fork legs for straightness
2. Check for proper fork oil consistency and level
3. Check spring rate (front and rear)
4. Check rear shock
5. If all else fails, get a new set of tires if they are even remotely close to suspect
Hmmmmmmmm, gut feeling here. On left side, while only at lean.... Has the bike been sitting on the side stand for a long time without moving it? Outside? With 0/low tire pressure and in the cold? aka, check for flat spots on the tires.
Welcome and good luck, please don't forget to follow up when you solve the problem. Pay it forward ya know.
EDIT: Has the bike ever been down? And if so, what side?