Dynamic sql table insertion with table name as variable

Greetings experts,
I think I am having a syntax issue with string concatenation on a stored procedure using dyn sql.

CREATE PROCEDURE [dbo].[INSERT_RECS] (@tableName nvarchar(50), @pFilterCol nvarchar(5), @pFROMDATE date, @pTODATE date)

AS

BEGIN
    SET NOCOUNT ON;
    DECLARE @SQL VARCHAR(MAX);

if(@tableName like 'TABLE1%')
 	BEGIN
  set @SQL = 'insert into [' + @tableName + '] (Col1, Col2, Col3,  T_DATE) (select Col1, Col2, Col3,  T_DATE from
   dbo.VIEW1 where CONVERT (DATE,  T_DATE)  between ' + @pFROMDATE +' and ' + @pTODATE +' AND FILTER_COL = ' + @pFilterCol;
 	END
 else if(@tableName like 'TABLE_2%')
 	BEGIN
 		set @SQL = 'different insert here';
 	END

  exec sp_executesql @SQL;

END

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I receive a compilation error "The data types nvarchar and date are incompatible in the add operator." So, I am assuming my concatenation operations have incorrect syntax.

Thanks!