I have an outer ear infection and a lot of swelling behind my ear. I was perscribed ear drops but I feel like I need an antibiotic pill. Thoughts?

Maybe. Swelling behind the ear with pain could be a sign of mastoiditis - very uncommon these days. It could also be an inflammed lypmph node. But I would agree, if there are symptoms other than just in the ear... I would proabably put you on oral antibiotics as well.
See an ENT. Most outer ear infections can be easily treated with drops. However, sometimes either the drops are not working or the ear canal swells too much for the drops to effectively get in to the ear canal, or the debris that builds up in the ear canal needs to be removed. In any case I would seek treatment by an ENT sooner than later.