Hello Janis Jasmine,
The error E:62:10 is indeed one of the lens initializing error code, and more particularly related to the stabilization unit.
If you search the internet for E:62:10 you will find numerous websites talking about this error code, amongst others on the Sony forums. It is a recurring and structural problem with Sony cameras, most particularly with the HX models, but it also happens with the W series. Sony is aware of the problem. The root cause is a flex ribbon between the motherboard and the stabilization unit that breaks shortly after expiration of the warranty. The flex ribbon costs only a few dollars but replacing it requires servicing. Sony does not support servicing and delegates to local service shop repairs. Unfortunately it far more easy to replace the whole lens unit, but then the repair costs is a significant portion of the purchase price of a new device. And it will eventually fail again after repair - many users report multiple failures. Look out the internet or read the (non-commercial) website http://sony-e-62-10.atspace.cc/, you will find thousands of similar examples with evidences.