Yes, both Jira and Backlog offer a Free Trial.
Jira is designed for Large Enterprises, Medium Business and Small Business.
Backlog is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for Jira Starts at $6.25/User/Month when Billed Yearly whereas for Backlog Starts at $29.16/Month when Billed Yearly.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.
Some top alternatives to Backlog includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Jira, Wrike, TeamGantt, FogBugz, Teamwork, ProjectManager.com, Trackboard, TaskBranch, Quick Base, TestRail, Height and Project Insight.