Where to start - maintenance on a 340
The rockers look normal to me.
You have hydrolic lifters so they will be a tad loose feeling when the engine is not running, once the oil pressure is up the hydrolic lifters pumps up just enough to give you 0 lash (more or less)
As for maintenance.
Go to
mymopar.com and get your cars FSM. (free download)
The first section will give you maintenance guidelines.
Sounds like you already have it running and the rockers (oil and such) looks good to me.
You could be proactive and pull the engine and replace all the gaskets etc. Or run it till you find out what leaks more than you can stand.
Good luck to you. I have me dad's 67 Dart Convertible, it makes the car way more memorable when I go for a drive.