Upvote:2
You have been refused twice for Schengen visas so far this year, and the more recent refusal reason is "Justification for the purpose and conditions of the intended stay was not reliable".
What should I do to visit Europe in August 2016?
It's clear from your narrative that you should not be trying to use a travel agent as a visa consultant. They gave you some egregiously bad advice (and as an experienced traveller from your narrative it's hard to understand why you gave it credence).
When you get the refusal reason: "Justification for the purpose and conditions of the intended stay was not reliable" it means there are some rudimentary problems with your circumstances and (based upon what you wrote) neither you nor your agent were in a position to understand just how fundamental the problems were.
Should I appeal again? If yes, can I do new bookings for August and provide them?
No. You should not be trying to appeal. Appeals work when the person is unambiguously clear about why the refusal happened and the person enjoys some measure of credibility with the respondent. When a person gets "Justification for the purpose and conditions of the intended stay was not reliable" it means among other things that their credibility has been damaged, possibly depleted.
Can I ask for a single visa for Croatia, Bulgaria, Romania, or Cyprus as they are still not Schengen and refusal will not appear?
Those countries that are part of the next enlargement are using the Schengen Information System now. Accordingly there is a strong likelihood they may access your transcript. Cyprus may work however.
Can I ask 2 of them in two applications as single visa?
While those countries may recognize visas from other countries as a proxy for permission to enter their own country, there is no way to merge them into a single visa.
What is the meaning of those 2 lines across my stamp?
It means you if try to enter Spain again you will be summarily removed without right of appeal. It is an abysmal event in a person's history and may account for why you are being refused. It's reasonable to suspect that consular staff would recognize it (obviously since they gave you back-to-back refusals), and told you they didn't know what it was so as to avoid a protracted (and perhaps emotional) discussion leading to nowhere. Consular staff are trained diplomats and do things like that. It's advisable to begin recognizing that your visa problems are fundamental and get professional help.
Your narrative suggests that you may have been exploited. You may have an actionable path of recovery against the travel agent for selling you things as a fraudulent practitioner, for that you would need to ask a different question.
Your next step is to read this: Schengen Visa Refusal: Justification for the purpose and conditions of the intended stay was not reliable and instruct an EU regulated practitioner to unsnarl your circumstances (and stop using the travel agent as a substitute for a qualified practitioner).