The opener shouldn't be doing any heavy lifting. The spring(s) should offset the weight of the door so that it can be easily lifted by hand as well as stay in place when let go, so best case scenario, your existing spring(s) may need to be wound a little more to compensate, or worst case like mentioned, you may need new springs.
I'd focus on any air gaps between the garage door and opening, whether you get a new door or not. The door should be adjusted so that it's as flush as possible when closed. This new track system looks interesting in how it pushes the door against the opening:
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A similar option that's been around longer is Green Hinges, which have springs to push the rollers against the track to force the door towards the oprining:
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