Bad experiences after graduation, chance at master's in finance programs?

Hi, I graduated in 2007 in engineering. I went to HYP target with about 3.5 GPA and 3.7 Departmental GPA. I tried a year of graduate school in computer science, didn't like it and dropped out after a year (out of a two year program). I did a summer internship in tech at a bank and received a full time offer. I took two random jobs to pass the time, and got fired from both, and the offer was withdrawn because I got fired and withdrew from my master's program. So my work history is not very good. Since then, I have just travelled around and done random things. I volunteered for a conservation project in Greece (really because I just wanted to go to Europe), and will teach English to a host family in Rome staring mid January for a month or two (again because I want to go back to Europe). I have not done anything serious. In my free time I run some websites as a webmaster and get some money from that, enough to pay off bills and whatever and for some light traveling which is how I've been able to afford the travels.

I wanted a more front office job than what was involved in my tech internship, so I looked into a master's in finance program (more econmics/finance programs, I'm not interested in quant stuff with heavy math or computer science), where my goal is to find a job right after graduation. I'm interested in master's finance programs but I want to know what my chances are since my background is not so good. Will I even have a chance since I dropped out of the graduate program?
Will they ask me to list a graduate program I didn't finish? My grades were very bad too (I got C's, etc.) so if it's something they check I don't think I'll have a chance. Will it depend a lot on my personal statement/motivations, etc.? Or will they just look at me and assume since I didn't finish the program last time and have pretty much been a bum the past 2-3 years that I will not take this program seriously?

Will I have a chance even at a school like LSE (MSc in Finance and Economics)? I am not even interested in the other schools in this tier (cambridge, etc.) because I heard LSE is best for recruiting and my goal is to find a job right after. And if not, what do you think are some solid schools that would be worth applying to?

Thanks!