The concerns you mention can sometimes arise after use of a nasal implant, and that's part of the reason I'm not a big fan. An L-shaped implant gives the tip definition by placing a fair bit of pressure over a small area of skin to tent the skin out. It cannot reproduce or retain the natural shape of your tip. As a result, it can look a little too pointy and unnatural.
Sometimes, this pressure on the skin can become too much for the skin to bear. If you are noticing redness at your tip, you should see your surgeon or another rhinoplasty expert early to determine the cause. If the skin is under too much tension, this would be a good reason to intervene early with a revision procedure to avoid injury to the skin.
The other problem with an L-shaped implant is the possibility that it will twist or move over time and cause your nasal contour to appear crooked. These problems are less likely with an I-shaped implant that stops just above your tip because the forces of healing and skin contraction do not act on it in the same way. An I-shaped implant really justs rests on your bridge without providing the same type of structural support that an L-shaped implant is intended to give. Still, an I-shaped implant can look bulky, blocky, and unnatural.
Our preference for ethnic augmentation rhinoplasty is to use your own cartilage for augmentation. If you are happy with your natural tip, you should be able to keep that roundness. Augmentation of your bridge can be done by itself to balance with your tip and other features. Assuming the redness is not the start of a problem, you may want to wait a little longer for things to settle. If you continue to be unsatisfied, rest assured that you can achieve a refined but natural nose.