I agree that the card and enclosure are more than likely absolutely fine - it's just odd issues like this that you can sometimes run into, which a firmware or driver update can often resolve. Now that Intel do an onboard USB3 controller, I'd be happy to use that, but before that was released Renesas and NEC were the only major players in that market, and personally I always had better experiences with NEC chips - the downside is, they're not all that common.
Syba have "helpfully" provided some very low resolution pictures of the card on their site, and I can't see a mention of what actual chip it sues to guide you to a recent driver or firmware version to try. Whether or not they solve the problem, with the Renesas chips especially I always recommend to update those to avoid compatibility, performance and reliability issues as much as possible. Again, I'm not saying the Renesas chips are bad though.
As for the above re: USB2 being slow - yes, it really is. It's 1/10 the speed of USB3. In terms of real world transfer speeds though when we're talking about external HDDs which can't take advantage of the full speed, we're still talking around 1/3 the speed of a HDD on USB3. USB2 has been a pain for years in that respect.