For the first error you have to update node as latest cordova require node 16+
But since npm 7, if there are problems with peer dependencies, npm install fails, that’s your second problem.
You can try to fix the peer dependency problems.
In example, you have typescript 3.7 installed, but @angular/compiler-cli@4.4.4 requires typescript 2.x.
So you can downgrade typescript to 2.x or update @angular/compiler-cli to a newer version, and continue updating/downgrading things until it stops complaining.
Alternatively, you can install with npm install --force or npm install --legacy-peer-deps as the error is telling you at the end.