I'm modifying my answer based on the very helpful information pointed out by the OP.
Work in the field you're applying for and that you want to count as skilled employment (for points), must be done after you have met your "skill level requirement met" date. That date is determined by when you have finished two years of suitable work experience and some sort of tertiary education or certificate.
See page 5 of the Skills Assessment Guidelines.
The Skill Level Requirement Met Date will be noted on your ACS result letter and will be determined by the outcome of the suitability criteria.
All relevant work experience completed after the Skill Level Requirement Met Date will be considered Skilled Employment and eligible for points under the skilled migration points test.
The work experience required to meet the suitability criteria is NOT included as Skilled Employment and is NOT eligible for points under the skilled migration points test. (Note from me: This sentence is about internships etc. required by the degree program)
One example in the document shows the suitable employment occurring before the educational requirement. The OP has 1 year suitable employment occurring concurrently with a year of education, then 1 year post-graduation.
My guess is that the current employment would count but I don't know for sure. I suggest contacting Australian immigration.