I have to say this happened to me lately. In regards to rough/slow starts its a sign of a weak battery I think. I ve had slow cranks but starts all the time. I know I need a new battery since I am still on original battery now for 7 years. I think its time for a new one...
In regards to rough starts my 330 have always run rough in the mornings while in garage.
I known for years shes not a morning car/person...LOL just saying...