Actually less than what you stated. $8.1m raised in Rights Offering which after fees was net $7.3m.
Per the amendments to notes issued on June 4, 2018 and July 20, 2018 "the first $2.5 million raised from the Company’s rights offering and 50% of any subsequent financings shall be used to satisfy the Company’s obligations under the Notes."
That would leave $4.8m for operations or about 2 months at current burn rate.
Not trying to discourage you, just food for thought.