If they've only ever been connected to a constant current LED driver then it's unlikely they're damaged, the driver will just deliver current up the the maximum specified. Not sure why they have a label warning of damage if connected in parallel, the worst that should happen is one of the lamps or lamp strings will light up while the other(s) don't.
If they've been connected to any other kind of driver then they may be fried.
1W @ 350mA suggests the lamp is a single LED, it's only 2.9V DC. If you have a DVM with a 'diode' range you may be able to test indivdual LEDs with that. If you probe it with red to + and get an indication on the meter, but no indication with the probes reversed, then they're probably OK. You might even see a glimmer of light from them with the meter connected.