Not entirely sure about the DSR11, but when our DSR-1500 gets tapes stuck in it, you can unscrew the case and *gently* with rubber needlenose pliers lift the tape out of the tape path and get the thing out of there. It’s really not too hard. But chances are this will ruin whatever bits of info are on that particular part of the tape, but the rest should be ok for a once-through to get it salvaged off.
sounds like your tape is having tension problems – hence the noise,losing timecode, and not rewinding the whole way. could also be the DSR tension rollers are a bit wacky too. Whenever you have DV tapes that are moving from temperate extremes, or have been used in a camera that stops, records, stops, etc…. always let the tape sit in your edit bay for a couple hours to stabilize the temperature and humidity, and then FFing the tape to the end and rewinding it completely to re-tension.
good luck