Yes, you should use third party tools (just don't take credit for them, maybe even credit the tools used in the footer). In a real job, you would leverage third party libraries to work more efficiently, so you should do the same when showing off your skills.
As a student (and even as an alumnus), you should have access to university career counseling. They can edit your resume for you. They may also have job listings from companies looking to hire students.
Also, you mentioned in a reply that your LinkedIn profile is not up to date. Fix that. Make sure you have all of your skills listed and experience described (then update it once your university career counselor rewrites your resume). The last two jobs I got via LinkedIn. I have had the best results from recruiters looking to fill a specific role as opposed to ones who wanted my resume to spam out.
P.S. Assuming you are talking about lambdas as a language feature and not AWS Lambda, they are the same thing as anonymous functions. lambda is just a keyword to declare anonymous functions in many languages.
Ok, but what does it do, in detail? Are there any screenshots of it? Do you just sign in to all of your social media accounts and it shows you your profile picture of each?
Yes, you should use third party tools (just don't take credit for them, maybe even credit the tools used in the footer). In a real job, you would leverage third party libraries to work more efficiently, so you should do the same when showing off your skills.