Pulling down the sleeves of her jersey, she walked inside.
She walked inside, pulling down the sleeves of her jersey.
Pulling down the sleeves of her jersey, she walked inside, making a beeline for the counter.
Pulling down the sleeves, walking inside, she made a beeline for the counter.
I know that both 1 & 2 are Participial Phrase.
Now, I'm having a problem, whether 3 is still a Participial Phrase because for me if we add to the number 1 sentence another phrase, something like "she made a beeline for the counter", then the correct structure must be number 4. I feel like number 3 opposes the rule of parallelism. So here's my question, is number 3 still correct and considered as a Participial Phrase? Or is number 4 incorrect? Please explain.