So the main question How can I get report results (full list of report rows) via rest api?
Because of limitation in 2000 report rows this: "Salesforce Reports and Dashboards REST API Developer Guide (https://developer.salesforce.com/docs/atlas.en-us.api_analytics.meta/api_analytics/sforce_analytics_rest_api_limits_limitations.htm)" solution not relevant.While searching a solution I've found out the same question and solution for it (https://salesforce.stackexchange.com/questions/24808/is-there-a-way-to-export-a-report-using-analytics-api) but it doesn't work for me only in case if I use sessionId from browser so I suspect this is permission issue and I not very familiar with salesforce settings configuration. Can some one help me to make it work?