Internship questions - Student looking for summer 2015 internship

I'm a student looking for a BB internship for summer 2015. I go to a non-target school, have a 4.0 GPA majoring in Math and Finance, with a minor in Economics. I did an internship w/ a private institutional brokerage firm on the floor of the NYSE this summer.

Now I'm going back to school next week and got an e-mail about a small local company offering an investment analyst internship which I'm sure I could get relatively easy. The firm is not prestigious at all on Wall St. but my NYSE internship was my only internship. Do you guys think I should do this internship for the next 9 months during school? Would it look good to BBs if I have a second internship even if it's not from a prestigious firm?

Here is info about the internship.

"No of Openings: 1
Hours per Week: 15-20
Compensation: $12-$15 per hour
Employment Start Date: ASAP
Employment End Date: June 2015

Position Description:
Phillips & Company, an independently owned Wealth Management firm with 8,000 clients nationwide, is seeking an Investment Analyst Intern to perform investment research and reporting tasks in support of internal projects and activities. Responsibilities may include: assisting with equity, bond, and mutual fund research, collecting and organizing data for reports, tracking and analyzing mutual funds to understand performance variance, administrative and data entry/audit activities, account analysis, and other ad-hoc projects. This position will include the opportunity to gain experience with multiple research platforms and processes.

Qualifications:
• Undergraduate senior or graduate student with a background in finance; progress toward a CFA is a plus.
• Course work, interest, and experience in investment research and financial analysis.
• Quick learner with strong research, analytical, communication, and writing skills.
• Detail-oriented and self-motivated.
• Strong organizational and time management skills.
• Intermediate Microsoft Office experience (Word, Powerpoint, Excel).
• Prior experience with Morningstar, Bloomberg, or fi360 is desirable, but not required.
• Be authorized to work in the U.S. without restriction as to duration. "

What do you guys think?
Thanks for your time

 

Would an internship from a relatively unknown firm be looked down upon by top-tier BBs? I have an internship on the NYSE which is pretty prestigious in itself.

Do you guys think it'd be better to just have that one on the NYSE or the NYSE + this unknown one?

Thanks

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