Steve,
The other thing I did was use both halves of the relay for switching the peltier (I think you'll find it has a pair of parallel contacts) to minimise the load on each set of contacts. From memory my peltier draws 3-5A and this was near the limit of each switch in the relay. It looks from your photo that you are only using one set however it is very easy to parallel up the connections on the blue terminal block.
Peter
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