Oh boy! Sounds like a. COUPLE of Electrical Issues going on with this JEEP! Problem # 1 - - The Starting Issue. Problem #2 - - The Battery gauge Fluctuating (Charging) Hmmmm - - Let' start with the Starting Issue - - You DID replace the Starter Relay - But that DID NOT. Fix the problem? Correct? This could be a wiring Issue - BUT- It could also be an. - - Intermittent BAD connection! Start at the Starter RELAY SOCKET! Pull starer relay - - INSPECT SOCKET carefully - - Check for - LOOSE or Corroded contacts!! Contacts may need to be cleaned and\OR Tightened - - This is to ENSURE a GOOD Electrical Connection! Also-- You may want to Check new starter relay with a DVM -- Just to Verify it is working OK. This TYPE of problem - we need to check ALL the Possibilities! To Check-out starter circuit wiring - you need a HElPER -- They sit in the JEEP. - - While you - Pull Starter Relay - - With a DVM (multimeter) you VERIFY the 12V signal is getting to the correct PIN of the Relay socket - - (some RELAYS on your Jeep need a 12V signal to work - - SOME relays NEED a GROUND) Good to remember that!! Wht YEAR. JEEP and what Engine? To check Wiring Diagram! On the Battery Voltage Issue - Start with the. Basics - Verify BatterY OK -- Verify batter connections CLEAN and tight! Verify. CHARGING VOLTAGE. OUT of. Alternator is within SPECS - - 14 to 14.5 Volts - - Check with a. DC. Voltmeter! Is it Steady ? Within specs? Could be - - Alternator or Voltage Regulator - - - - That should do it - You did say you Replaced the - Neutral. Safety. Switch? Right? Should be unrelated issue. Good Luck! Keep us Posted. JB