BO and BOBJ are same things thats Business Objects - it is used for Reporting - it has dashboards, WEBI, Crystal Reports and other options
BODS is Business Objects Data Services - it is used to load data from any source system to any database be it HANA, Oracle...
BW is Business Warehouse - a data warehouse.
When SAP launched BW7.0 it was called BI( Business Intelligence)
But BI is not only a data warehouse its a Business Intelligenceand is used as a analytical, planning, reporting and Data Warehousing solution( includes BEx Reporting)
BW/BI is related to HANA in the way that modeling concepts in HANA can be related to modeling concepts in BI.
We will use BW on HANA and can import BW models to HANA and HANA Models to BW.
BOBJ is the reporting tool - if we create views in HANA then we can connect HANA to BOBJ and do reporting on it.
BODS is one of the method used to load data to HANA.
It supports complex transformations, Unstructured data and even Non SAP system