Hair pulling/scratching/biting... is this normal?

DD recently turned 2. Ever since she was about 18 months she has pulled my hair - it's getting worse and worse. (Advice to tie my hair back makes no difference - she just pulls the top of my hair which is even more painful).
It will start off as a hug, but then she'll wrap her arms around my head and pull my hair, and kind of bare her teeth and make a noise - and yet it's not like she's intentionally trying to hurt me.
I hope this sounds familiar to someone - it's very hard to explain in writing!

As a toddler she's always been "rampant" as we call it - she does strange things like grabs her toys and shakes them rapidly while making "rampant" noises :) ... None of this is done with any anger or violence - it's just like a strange outburst of energy.

Now she has started biting - she'll intentionally BITE my hair - she'll grab a fistful and bite it , and then spit it out... And she will go to kiss me/cuddle me, but it will end with her trying to bite me, again not with any intent to hurt me from what I can gather. She bit DH today and left a red mark!

Not sure what to do about it - she ignores my stern tone of voice. And not sure if it's normal.

Apart from these odd habits she's a pretty normal toddler. There's a lot of whingeing and daily tantrums at the moment, but I know that's normal!

It sounds like she's frustrated in love lol. My dd gets overwhelmed with emotion sometimes too when she's trying to hug and kiss ds...it's like the love is too much and love turns to a tight squeeze pretty quickly.

Hair pulling and biting I have never tolerated, and if my dd did that in my arms she'd get plonked on the floor until she could show me gentle hands.

How do you normally react when she hurts you?

Thanks Arcadia :)

That's what I do - I put her straight down and say "No pulling hair - that hurts mum" in a stern voice. She doesn't seem to get it though.