Ta'aruvot (revised)

Question

1. Can one eat hard-boiled eggs (that were prepared in the chulent pot) with fish? 2. Can one eat hard-boiled eggs (that were prepared in the chulent pot) with dairy? 3. Can one boil a dairy "soup pouch" (sealed plastic bag of soup) in water in a ben yomo meat pot? 4. Can one boil a dairy "soup pouch" (sealed plastic bag of soup) in water in a non-ben yomo meat pot? 5. Technically speaking, if keli sheni does not cook -- is there a halachic need for separate meat and dairy dishes/utensils? Is there a difference here between bediavad and lechatechilla? (If possible, please provide the simanim in the SH"A that correspond to your answers.) Thanks!