DD1 is 3 in October but i have noticed some behavior recently that i'm not sure is 'normal'?

1. She is quiet sensitive of late, bursting into the tears at the drop of a hat - i don't mean being told NO or getting in trouble.
IE. the other night i put her PJ's on, accidently put DD2's on her (too small) so we took them off and did hers, the next night she had her PJ's i put them on she burst into tears and said "i think you picked the wrong ones, they don't fit".
No matter how much explaining i did that they WERE hers and they DID fit she cried for 20mins.
She's also cried about random things like dropping a toy or pencil.

2. She gets bored very easily, she's always been a very active child but lately she does something for 5min and then she's over it.
IE. doing puzzles the other day, she was getting them in the right holes, did it a couple of times (4 diff puzzles in the lounge) out of nowhere she screams i can't do it, picks them up and throws them on the floor.

3. She's all of a sudden quite possessive of HER things, if DD2 even looks at a certain toy she bursts into tears and says she can't have it, but 5min later she's back to her normal happy self playing and sharing even offering her sister exactly the same toy or food.

4. She picks things up quite quickly but lately she picks it up and within 5min is getting quite frustrated at herself and giving up.
IE. there is a shapes game on my iPhone, she can pick the shapes and gets all excited but after the 4th one she gets right she just starts pushing random things and then getting angry, even when i explain to take her time and listen she just gives up.
Also she's just started drawing an A for her name and is managing to do it without tracing or having an A beside her but randomly she gets upset and says she can't do it and then throws the pieces of paper etc.

Is this 'normal' 2yr old behavior or should i ask to see the MCHN again and ask if there's something 'wrong'?
I know they all go through stages, maybe this is just one of them i guess it's just not really like her, she's always been go go go but never like this.