I don’t have a Soleman so take the following advice with a pinch of salt.
You cannot do all that you want in Scene mode. You might be able to use the editing software to, for example, have switch 1 control increment of pattern and switch 2 control transport by creating a “macro” and typing in the MIDI transport message code for the “Macro On” and “Macro Off” messages.
In Panel mode, if increment and decrement functions are not available in a single Panel, you should be able to program each of the 64 Panels with your favourite AR pattern numbers and then select from the 64 panels in order to select an AR pattern. An additional external footswitch would give you increment and/or decrement of panel number (and therefore AR pattern) with a single press.
Note also that forum member @Megageoff was in a similar situation to you:
and was promised a firmware update by Source Audio. If this has not been implemented, you might try asking Source Audio for help.