If your indicator is flashing twice as fast as normal, it means that one of your indicator bulbs has gone out. Since it's back to working now, I'd imagine the issue was either a loose connection at the bulb which a decent sized pothole/speedbump has shifted back, or a rusty connection in the fusebox.
Given how many things are broken at once, I'd lean more towards the rusty fuse box connections idea, or even just a loose wire somewhere. These aren't the sort of difficult to find electrical gremlins that I'd get rid of the car over though.
Consider cleaning up the connections on the engine-bay fusebox with a wire brush, and then coat them with some electrical grease to prevent the freshy exposed metal from getting tarnished again
as for the engine light, see if it fixes it when you've done that, if not it may be a separate issue that you'll need a code reader to figure out
