About renaming:I would say that using 'coin' in the name is deprecated already.
The name should refer to the main functionality of HOdlcoin project:
1. Depon
2. Depos
3. Depot...and these days adding
'Network' or
'Platform'to the name, make it sounds more PRO ;-)
Those are my strong suggestion for your consideration
About rebranding:In the link below you can see my logo propositions:
Groups 1-3 are using letter 'D' in different variations
Group 4 is illustrating growing deposits
Groups 5 and 6 illustrate HOdling (over and over)
Group 5 could be made as spinning animation, which would make more sense for it's meananing.
My favorites are 2c, 3c, 4b, 6b, 6c(obviously, colors can be changed)
Let me know guys what you think.