David, you would structure the sentences differently.
1. If you had already mentioned redundancy, you would say, two years later, Caroline is planning....etc
You could also then use' two years on' in the same way - 'Redundancy.... Two years later, .....' etc.
Otherwise, you could say 'two years after redundancy....'
2. 'Even if'... takes 'it were to mean...' This is more uncertain, and conditional.
'Even though' takes 'it could mean resigning first....' This is if you want to retain the uncertainty of the following phrase.