Hi,
They could both be introductory clauses, or kansai dialect.
A little more background information please?
If the conversation continued with the same topic after the 「で。/でね.」 they are introductory clauses meant to give some background information.
1. He/She is so awesome, right? and. . .
2. So the hat falls and. . .
If not, then でね from number 1 is でんね (ですね)from Kansai dialect.
1.He/She's awesome, isn't He/She?
And number 2 is the Kansai Dialect emphatic particle ~で which is much like ~よ in standard japanese.
2. Oh! The hat fell!
Does that help?