After a hard fall on my left shoulder 2 weeks ago, i have pain in my pectoral and shoulder. also when raising my arm, tying shoes, and steering overhand?

Rotator cup sprain: Most likely rotator cup sprain/tear. But the most important is to rule out dislocation or fracture. So at least get a shoulder xray. And if possible ask your physician to inject to your shoulder with corticosteroid if xray negative for fracture. If not improved then get MRI to r/o soft tissue injury. I hope that will help.