Ok. Well, first off you will need to butter the carbon steel with 309 stainless steel to accommodate this weld, which is a dissimilar metal weld.
Second, welding process will be based on amount of the weld overlay. Manual SMAW or automatic GTAW are options. You need more information.
Third, filler metal for the overlay, once the 309 has been deposited, should be 316. You don't need the 316 Ti equivalent for the weld overlay.