No power to outlet

Check the wiring on the two new outlets. Each outlet should have at least two black (or colored) wires and two white wires if there are no other wires in the box.

Is there a cable coming into the outlet box (wht & blk together) or are the wires coming in, in a conduit? If they are in a cable then one cable carries pwr in and the other feeds power to the next box.

Let me test my understanding:
The dining room wall switch has 2 switches
1 switch for Dining room
2nd switch for kitchen

both these switches work OK
two new outlets + two in living room have no power

Congratulations on your success. It's surprising what problems can be resolved with good light and maybe even with a magnifier. I think that I have solved many more problems that way than with all my test Equipment.

You have made a good step with a meter, now here are some low cost testers.
e.g. Receptacle Tester

and a Solenoid Tester which is not a tester for solenoids but a general purpose tester favored by Electricians that uses a solenoid as a measuring device. (also known as a Wiggy™)

and also a newer Non-contact Voltage Sniffer

And finally the newest Sniffer that can be used from Low Voltage up to 1000VAC

.