Terminal app crashing on start

I don't have 10.14 running but I have not heard this before

Id try restarting into safe boot,

hhttps://support.apple.com/en-us/HT201262

checking the hard drive for errors

https://support.apple.com/guide/disk-utility/repair-a-disk-dskutl1040/mac

then rebooting normally

see also

https://support.apple.com/en-us/HT203161

For futher analysis you may post an Etrecheck report. The link is http://www.etrecheck.com

Did you by any chance move the Terminal app out of the Applications -> Utilities folder, or make a private copy of Terminal in another folder?

I have seen situations where users did this, and what they were launching was NOT the current macOS Terminal version, but an older version from several releases ago.

Definitely try Safe boot.

You can also try moving ~/Library/Preferences/com.apple.Terminal.plist out of that directory

Finder -> Go -> Go to folder -> ~/Library/Preferences/

then drag the com.apple.Terminal.plist somewhere else.

Try an alternate terminal emulator. My preferred terminal emulator is iTerm2

https://iterm2.com/

If this does not work, then there is something common between the 2 emulators, such as your shell initialization files (.profile, .bash_profile, .bash_login, .bashrc, or other if you are using a different shell, such as zsh, tcsh, etc...).

Note, if iTerm2 does work, you still want to figure out why Terminal is failing, but you also might consider switching to iTerm2 if you use a terminal emulator a lot, as it is very good terminal emulator.

create a new local admin account

boot to that account

open terminal

does it still crash?