All perfect praise be to Allah, The Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad, sallallahu ‘alayhi wa sallam, is His slave and Messenger.
Cheating in exams is absolutely prohibited, as the Prophet, sallallahu ‘alayhi wa sallam, said, “The one who cheats is not one of us.” [Muslim] You did well by regretting your cheating in the exam, and whoever repents to Allah of his sin, Allah forgives him. This does not affect the validity of your degree or future work as long as you do your job as required. Shaykh Ibn ‘Uthaymeen wrote, “The criterion in this regard is the last year; if the student cheats on all the exams, for instance, except the final ones (graduation year), then this is sufficient in this regard.”
Please, refer to fatwa 181421. Accordingly, there is no harm on you in benefiting from this diploma and using it to apply for work.
As for using the internet service at the university, this requires knowing some details. If the internet service is public and the students are permitted to use it, there is no harm on you in using it for the purpose which you mentioned. But if the internet connection is private and the university does not permit students or others to use it without a special permission, it is impermissible for you to use it and you should refrain from doing this and seek the pardon of the concerned authority regarding the unauthorized usage of the service.
In any case, you are allowed to benefit of what you had earned from your designs (the payment you received for them is not haraam).
Allah knows best.