I screwed up :( Background leading to my foolishness: I've been straining my bike quite a bit with hills and inclimate weather, and I haven't been able to find my maintenance kit since I've moved, so in my busyness I've let myself push around on a squeaky rusting chain. I realize I may be learning an expensive lesson now.
Today I kicked off and start pedaling, finding my chain was jammed up and not moving smoothly through a full rotation. That has happened before with a poorly oiled chain and I've pushed or shifted my way back into relatively-smooth operation. Well I pushed and it was stuck, not moving forward at all. Should've got off there but instead I pedaled backward a little, shifted and pushed, and it moved a little. That inspired me to push harder, and in my haste I pushed recklessly hard to pedal forward. Well, it stayed stuck and felt pretty wonky at that point, so I calmed down my haste and got off to check what's wrong. I found the back wheel had tilt/camber to it and the derailleur was bent out of alignment - I was definitely not getting anywhere quick anymore!
I'll bring this to a local bikeshop ASAP to get repaired. Seeing what appears to be a weld severed, I'm not sure if this is a costly repair or a major overhaul I'm looking at. How bad are the damages, can you identify what specifically appears damaged and in need of repair? Is the frame and hub okay to keep and just needs a new derailleur?
From a different angle:
Rear wheel appears normal to me, no clear damage on axle, spokes, wheel frame or anything. I think the connection point for the rear wheel to the frame is what got busted in some way from my pushing, which led to the derailleur getting bent and the wheel off-camber.