Besides the obvious tackle things i always try to take with me are as follows

good quality pliers
sharp knife
rain jacket
Paper towels or Tp
A medicine bag with ,Tylenol or motrin,Chlorotabs for allergy and sinus,Pepto for stomach issues.Dental floss,And my vaping supplys ,aka electronic cigarettes.
And also some medical gear,band aide,antibiotic ointment


But also i would agree if you have a conceald carry it would not be a bad idea to take your weapon with you .As i was fishing yesterday on a very isolated reservoir and they was about 4 guys shooting guns in the water and drinking.So i always think it is best to be prepared if the need be . As on most lakes you are out of cell range and could not call for help if a problem arose