I really think you'd be OK without taking algebra all over again. Do you still have your book from the class? If not, head down to the library / Amazon / ebay and pick up an older version of what the class is using now. Try to work through some problems on your own, see if it's all Greek
😉 or whether you can work it out (maybe using the book's explanations).
I would suggest taking Trig before a Calc I & Calc II sequence, if you haven't, but I would suggest trying to review it on your own through a similar method. It's not entirely important to have a grasp of all the specific concepts presented, more how to work with algebraic equations and trig functions for derivations and such. However, it's not even necessary as a prereq for Brief Calc at the school I'm going to (a CC).
Brief Calc is, essentially, how to work with derivatives and integrals and what their applications are, without the rigorous derivations and such that are applicable to a math (or possibly engineering) major. I asked an econ major I knew who had tried to take Calc I & II but couldn't hack it (C / D). In essence, she said the Brief Calc professor understood he wasn't teaching to math majors and most people were there just to fulfill a requirement; the Calc I & II professors generally treat everyone in the classroom like a math major - find one with a good sense of humor.
🙂
If you still think you should retake College Algebra and Trig again before going on to Calc of whatever flavor, talk to one of the instructors who teaches Calc at your local college and see what s/he thinks. They may also have a placement test you can take to see what math you should be in, but I wouldn't recommend this route, as it can put up unnecessary road blocks should you decide to take Calc but score poorly on the test. (Which is not necessarily the best indicator anyway.)
I'm not sure which colleges you're interested in attending, but here are some of the ones I'm looking at:
University of Arizona only requires 1 semester of Calculus, which can be chosen from MATH 113 (Elements of Calculus, which looks to be similar to Brief Calc / what AStudentDoctor is calling "Elementary Calculus") or MATH 124 & MATH 125 - Calc I & II.
http://www.pharmacy.arizona.edu/programs/prePharm/requirements.php
http://garnet.ccit.arizona.edu/cgi-bin/schedule/schedule.cgi?MATHzz094zOpen
University of Washington only requires 1 semester of Calculus (3-4 semester credits), which I'd imagine would include Brief Calc / Elementary Calculus although I'd contact them to confirm.
http://depts.washington.edu/pha/students/prerequisites.html
Midwestern University Glendale also only requires 1 semester of Calculus (3 semester credits).
http://www.midwestern.edu/Programs_and_Admission/AZ_Pharmacy/AdmissionApply.html#prerequisites