As mentioned in your query that you have already completed your BE degree in the year 2014 and that you have not collected the certificate due to various reasons but now you want to get it, You can get it and you need not worry as every college keep their student's records and documents and as nowadays its become digital, it is easier to fetch the student's details even after years.
Normally, every university sends the passed student's degree certificate to their respective college for distributing to their students during the convocation ceremony and the college keeps the record and even the certificates of the absentee who are not able to make it on the convocation day due to various problem. They either keep the certificate with them or after certain years like 5 years, may have it to the university. You can directly visit your college and contact your department HOD or teachers or even visit the college office and make an application for the same. Do carry your records like Enrollment No, Admission No, College Identity card, any fee receipt if you have for their easy reference. The college concern may be able to provide you more details directly.
If the college does not have your certificate and asks you to visit the university, do ask them for a letter from your college on the college letterhead as it will help the university office to fetch your details and provide you with your certificate at the earliest and without much hustle. The process may require an application along with a nominal fee. You can even try it online as many universities have started uploading the certificates online and this may help you to get the hard copy easily with the certificate number.
Now regarding your second query about Transfer Certificate, let me ask you are you going for further studies then this is required otherwise you can leave it. If you are applying for further studies at the university then you can visit or contact your college and give an application along with other details. After verification from the college staff, they would provide you the Transfer certificate within 2-3 working days.
Both the work of your Degree certificate and Transfer certificate can be enquired on the same day and if you happen to find any old staff, they will be able to help you in a better way. Do not forget to carry your details(College ID, Enrollment No., Any mark sheet for reference, Fee payment slip if any, etc) while visiting your college or university.
“The most important thing in life is to learn how to give out love, and to let it come in." — Morrie Schwartz