Personally, the first thing I would do is adjust your build for Nami. A popular build from a Diamond player seems to be:

with:
as spells, which you seem to already be doing, so great job there. Obviously if there is a different build that you feel more comfortable using, then by all means use it, and obviously those items are interchangeable with whatever suits the particular game you're in, use your best judgement.
During the early-game laning phase the most important thing you can do as a support to ensure your team's success is to zone the enemy ADC so that your ADC has an open shot at the creeps. Now, keep in mind that if you're zoning your enemy ADC, they're likely going to call on their jungler, so ward ward ward, and try to keep yourself in a position where if a high-mobility jungler (such as Master Yi) is running at you, you can get away.
Now with these two particular games I would say that a lot of it wasn't your fault, in the first game, as the other's have said your teammates probably had some bad positioning issues, and the second game was definitely just an enemy snowball, nothing you could've done there.