Motorcycle Questions? Ask a Mechanic.
Hi and welcome to JustAnswer,Thank you for the question and your patience. Should you still need assistance for information purposes only...Initially, what year please is the Honda CB350?
And bear with us; post back with clear closeup pictures of the "... two cables and also the contact cable (yellow) that goes into the little circle and makes contact with the starter..." Please click HERE.
If the wire/terminal in question is used for the starter motor relay/solenoid trigger, then there would have to be a small spring pushing on it. The item HERE may be of interest then as a parts donor.
...or perhaps HERE.
Yes please on the pictures later / when able.