Well, there is a lot to decode from your post here. First, Booligan already commented on the receiver and cylinder you have. It's quite beat up btw...Next you mention a bipod that you installed on a M249 - relevance to the thread topic is unknown. Now you mention a scope that has a missing crosshair, then directly back into a cocking issue with what I assume to be a bent spring guide...whooah. Now, asking about a rifle with a folding stock and making a BAR10 into so it can fit in a backpack.
Well, its all quite confusing when you piece it together like that and when the thread topic only covers one of your many questions.
For a custom folding gun, I would say it will be more work than its worth trying to create something that you can already purchase. For instance, I applied minor modifications to a KP45 Match GBBP, fitted it with a PDI 303mm IB and had a custom hider made from a GSPEC. It basically made a GBBP into a VSR10/BAR10 GSPEC, very compact with the same IB as the GSPEC @ 303mm. If you really want something folding, then I would suggest an MP5. Or if you are hell bent on making something, take a full BAR10 rifle - GSPEC for barrel compactness, toss the faux hider, and cut the stock behind the trigger mech. Make some type of hinge and locking mech for the stock. But, really, there are so many easier options out there which already address this application. The design of the SU16 wont work because it separates the trigger mech from the receiver…