I would be very concerned if the filter has had no oil going through it.
It is the first thing in the oil circut so it sounds like there has been no oil going through the engine. If this is the case it may have been the cause of the HG blowing and you may have damaged things like cam journals and main bearings.
A new oil pump is reasonably expensive - probably $2-300 and it's a pretty big job to change it. Basically all the pulleys and timing belt need to come off. If you are competent enough to do the HG you should also be find doing the oil pump yourself as I dare say you already have the timing belt and stuff off.
TVIS is not required but on a stock engine it will improve performance (and more importantly torque) in the low to mid range. I was not aware that TVIS was fitted to the 3SGTE - I thought it was only standard on the NA engine. Is this a factory GTE or a modified engine?
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