Short answer, yes, the only form that is correct for the conjugation of the verb "to work" ("a lucra") is Eu lucrez, and the one with Eu lucra is completely wrong. In fact, below is the conjugation of this verb for all the grammatical persons:
As for which website is ...
I have found the following resources:
Discover Romanian: An Introduction to the Language and Culture by Rodica Boţoman. 425 pages (textbook), a set of 10 audio CDs and a student workbook. Published by Ohio State University Press, 1995.
Colloquial Romanian: The Complete Course for Beginners by Ramona Gönczöl and Dennis Deletant. Published Routledge, 2012. ...
FWIW, I have found that the key words for each CEFR level are much the same from one language to another.
In a pinch, I would first identify the words for a CEFR level in a more common language, say German or Italian, and then try to learn the corresponding Romanian words. I've tried (with limited success) to learn Romanian using Italian equivalents.