Hi Weetamoe79:
I understand that the kitchen sink always stays hot...it is a low volume fixture that only delivers 1.5 G.P.M. or less and is usually mixed with some
cold water within that 1.5 G.P.M., but I am wondering how the lavatory faucets do as they are also a low volume fixture...? Let me know...
All shower heads are restricted to delivering 2.5 G.P.M. and have been for years now, but if you have an older shower head it is possible that your shower head is delivering 5 G.P.M. or more...that would DEFINITELY be an issue for a tankless coil...new or not!! To check this, look at the shower head and see if you see any tiny print embossed into the plastic..let me know what it says. Tubs can also be a big issue for a tankless coil as they also deliver a large volume of water.
These
larger volume fixtures (tub/shower) usually start out strong (hot) but taper off quickly in such a way that you need to adjust temperature...can be very uncomfortable.
It is also possible that the
volume of water flowing through the tankless coil exceeds the ability of the coil to heat the water. Here, in compliment to the volume discussion, the tankless coil output cannot keep up with demand. In this case, they make a
P-3 valve that reduces the volume but doesn't reduce the pressure...great device (see picture). This valve is installed into the cold water feed of the tankless coil...it may be worth investigating this as this is quick/easy install and has made a
SIGNIFICANT difference in tankless coil output form any of my customers...

Check out
http://www.watts.com/pdf/ES-P3.pdf
You could also have a
temperature limiting device in place at each tub/shower valve....would need to know the name brand (kohler, symmons, american-standard, delta, price-pfister, glacier bay, etc...) to tell you how to adjust this (it is under the knob or trim plate).
Finally, I don't think the coil itself is clogged with mineral deposits to the point that it needs to be cleaned (acid wash) as this is 1 yr. old...and hopefully you don't have such hard water that it will ever be necessary.
Let me know more...see what we can come up with here.
MARK