Hi Jenna
I use Bancaja and yes you can have access to your account over the internet and the site is in English as well.
Like any other bank in Spain you will get charged for some services ie charge for bank card
One you get it up and running it is very easy to use and have money transferred to it to pay all your bills etc
I use Voltrex to txfer money to Bancaja and again have had no issues yet.
Regards