Pull it and take it to your local starter / alternator shop for a rebuild. it will save you money and its a better starter than the cheap knock offs from China you'll find in the local auto parts store.
A couple of thoughts
1.You may have the brown wire and the red yellow reversed on the solonoid. try reversing them.
2. You may not be getting enough juice thru the long wire from the key to engage the starter mounted solenoid. This is not uncommon.Try wiring the key activated red yellow to a new independant solenoid much like your old starter had, and power the starter mounted solenoid from the large terminal on this new solenoid.(Other large term. on new solenoid should go to battery positive with a good size wire)
A couple of thoughts
2. You may not be getting enough juice thru the long wire from the key to engage the starter mounted solenoid. This is not uncommon.Try wiring the key activated red yellow to a new independant solenoid much like your old starter had, and power the starter mounted solenoid from the large terminal on this new solenoid.(Other large term. on new solenoid should go to battery positive with a good size wire)
Glad to hear it worked assume you are talking about adding a solenoid?