Not likely. the computer can compesate timing by +/- 5 deg. Just because the motor was rebuilt, doesn't mean the machine shop did a good job of cleaning the oil passages.
Most shops just hot-tank the whole motor to remove the carbon and oil deposits. To really clean out the passages they would have to use long oil passage brushes and compressed air. How reputable was the shop that rebuilt it. Did they do the short block as well?
About the tensioner, it's not likey that it would be the timing chain or you would hear a constant rattling. It can pop out however, so Nissan Motorsports offers a tensioner upgrade for use with higher oil pressure motors.
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