You are eligible to apply there. Sometimes when the consulate has doubts about the genuiness of the degree, it helps to show the originals. In some cases, they doubt the existence of the company (people just create company on paper and send papers to relatives to get them in). So, if you can take documents (annual reports, tax filings of the company, etc) it will help you prove beyond doubt that the company exists.
There are 3 different issues that I know of:
1. Degree Genuineness
2. Does the company really exist?
3. Do you come from countries that are blacklisted based on terrorism OR if you belong to a field that is listed in TAL (Technology alert list - search in Google for details). If you fall in this category, they do a name check which will take 3 weeks to 2 months.
If you work for a big company the first 2 issues can vanish.. If there is a way that you can get the originals from India it will be helpful and most importantly give you peace of mind. Otherwise, you might still be o.k. Worst possible case, they will make their own enquiries regarding the authenticity of your degrees which might take some time.
Ela