The majority of research use both primary and secondary sources. They work together to help you develop a strong case. Although primary sources are more believable as proof, secondary sources demonstrate how your work links to previous research.
Sorry, I didn't get your exact query. "Phase one we are doing secondary data analysis" - data source could be primary or secondary but qual or quant depends on nature of the data. Could you please elaborate the query a bit?
My query is that if we collect information nit only systematic review which we do essentially in every research, but if I collect information from secondary resources and analyze these to understand the issues. Then based on that if I conduct detailed interviews (primary data) and analyze it. In this case which research design it will be
If I understand your query correctly, instead of reviewing literatures, you have analyzed secondary data and assessed some insights.
But your main study is qual (interview) based on the insights you have gathered. So, I don't see any problem to call the study as qualitative one!
Instead of ready plate (literature review), you have played with restaurant's ingredients (Secondary data analysis) and presented the dishes to your guests (interview). Here, the main topic of interest is how actually you are treating your guests. It doesn’t that concern who and how actually prepared the food was prepared.
If you actually analyzed secondary data and then used the results as the basis for your qualitative interviewing, then this could be considered a sequential explanatory design (QUAN --> qual) in mixed methods research. The goal of a sequential explanatory design is help understand a set of quantitative results by conducting a follow-up study.
It is far more common to use primary data with this design, but if you are indeed pursuing an explanation of quantitative results with further qualitative data, that would qualify.