Ask an Immigration Solicitor. Get an Answer ASAP.
A decision to refuse an application for permanent residence is unlikely to be made against you except on serious grounds of public policy and public security. Your previous criminal convictions of a simple caution do not in themselves justify a refusal decision.
Yes the Home Office have attempted to deport EU national and family members with criminal convictions but there is usually the opportunity to appeal.
It shouldn't be
I agree with you. A simple caution shouldn't one it own entitle the Home Office to deport. If they attempt to you have an option to challenge it.
Each case is different